For a periodic system, integrals in real space over the (infinitely extended) system are replaced by integrals over the (finite) first Brillouin zone in reciprocal space, by virtue of Bloch's theorem . In fhi98md, such integrals are performed by summing the function values of the integrand (for instance: the charge density) at a finite number of points in the Brillouin zone, called the k-point mesh. Choosing a sufficiently dense mesh of integration points is crucial for the convergence of the results, and is therefore one of the major objectives when performing convergence tests. Here it should be noted that there is no variational principle governing the convergence with respect to the k-point mesh. This means that the total energy does not necessarily show a monotonous behavior when the density of the k-point mesh is increased.

For a periodic system, integrals in real space over the (infinitely extended) system are replaced by integrals over the (finite) first Brillouin zone in reciprocal space, by virtue of Bloch's theorem . In fhi98md, such integrals are performed by summing the function values of the integrand (for instance: the charge density) at a finite number of points in the Brillouin zone, called the k-point mesh. Choosing a sufficiently dense mesh of integration points is crucial for the convergence of the results, and is therefore one of the major objectives when performing convergence tests. Here it should be noted that there is no variational principle governing the convergence with respect to the k-point mesh. This means that the total energy does not necessarily show a monotonous behavior when the density of the k-point mesh is increased.

I don't get any point and its an irreverent answer in my question.....so at first try to understand my question....and then answer...plz aakanksha Sud

You should first understand what type of question you have asked .what do you mean by physical meaning of 5*5*1 k points

www.iiserpune.ac.in/~smr2626/hands_on/week1/july1/bzsums_mastani.pdf  

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